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Abstract: this report we shall present the fundamentals of random number generation on parallel processors. We shall exhibit how the practical task of carrying out stochastic simulation on a parallel machine leads deeply into number theory and algebra. We shall see that some classical algorithms which have proved to be excellent for single-processor machines, are either useless or require greatest care in the case of parallel processors. Stochastic simulation is one of the important tasks for single- as... (Update)
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BibTeX entry: (Update)
@misc{ hellekalek-study,
author = "Peter Hellekalek",
title = "Study of Algorithms for Primitive Polynomials",
url = "citeseer.ist.psu.edu/hellekalek94study.html" }
Citations (may not include all citations):309 Random Number Generation and Quasi-Monte Carlo Methods (context) - Niederreiter - 1992
213 Non-Uniform Random Variate Generation (context) - Devroye - 1986
175 Stochastic Simulation (context) - Ripley - 1987
87 Random number generators: good ones are hard to find (context) - Park, Miller - 1988
86 Finite Fields (context) - Lidl, Niederreiter - 1983
35 Efficient and portable combined random number generators (context) - L'Ecuyer - 1988
30 Random numbers fall mainly in the planes (context) - Marsaglia - 1968
22 A non-linear congruential pseudo random number generator (context) - Eichenauer, Lehn - 1986
15 Multiplicative congruential random number generators with mo.. (context) - Fishman - 1990
14 Parallelization of random number generators and longrange co.. (context) - De Matteis, Pagnutti - 1988
11 A class of parallel random number generators (context) - De Matteis, Pagnutti - 1990
8 On primitive trinomials (context) - Zierler, Brillhart - 1968
8 Primitive binary polynomials (context) - Stahnke - 1973
7 A remark on long-range correlations in multiplicative congru.. (context) - Eichenauer-Herrmann, Grothe - 1989
7 An equivalence relation between Tausworthe and GFSR sequence.. (context) - Fushimi - 1989
6 Primitive polynomials over finite fields (context) - Hansen, Mullen - 1992
6 Primitive polynomials (context) - Watson - 1962
5 Tables of finite fields (context) - Alanen, Knuth - 1964
2 Figures of merit for digital multistep pseudorandom numbers (context) - Andr'e, Mullen et al. - 1990
2 A short note on new indexing polynomials of finite fields (context) - Sugimoto - 1979
1 Uniform random number generators for parallel computers (context) - D'eak - 1990
1 Marsaglia's lattice test and non-linear congruential pseudo .. (context) - Eichenauer, Grothe et al. - 1988
Documents on the same site (http://random.mat.sbg.ac.at/team/): More
Inversive Pseudorandom Number Generators: Concepts, Results And.. - Hellekalek (1995) (Correct)
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Implementation of algorithms for IMP-polynomials - Hellekalek, al. (1994) (Correct)
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